Question

part a
the measure of the minor arc in the circle shown below is

degrees.
210°

Explanation:

Step1: Recall circle - arc relationship

The sum of the measures of a minor arc and a major arc in a circle is 360 degrees.

Step2: Calculate the minor - arc measure

Let the measure of the minor arc be $x$. We know the measure of the major arc is 210 degrees. So, $x + 210=360$. Solving for $x$, we get $x=360 - 210$.
$x = 150$

Answer:

150